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Finding the Fourth Proportional to 954.77, 1,317.69 and 535.24

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Solution

The fourth proportional to 954.77, 1,317.69 and 535.24 is: 738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.77 : 1,317.69 = 535.24 : x
  2. Step 2: Convert to fraction form
    954.77/1,317.69 = 535.24/x
  3. Step 3: Cross multiply
    954.77x = 1,317.69 × 535.24
  4. Step 4: Simplify right side
    954.77x = 705,271.13
  5. Step 5: Solve for x
    x = 705,271.13/954.77
  6. Step 6: Final answer
    x = 738.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.